λ
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Atlas › Integer Profiles › Node 56,598,290

56,598,290

2 × 5 × 7 × 613 × 1319
Abundant Even Composite

56,598,290 factors as 2 × 5 × 7 × 613 × 1319. Its 32 positive divisors give a proper-divisor sum of 60,110,830, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 613 × 1319
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 116,709,120
Proper Divisor Sum 60,110,830
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #56598259 ← → #56598299

Radix Representation

Decimal 56598290
Binary 11010111111001111100010010 (26 bits)
Octal 0o327717422
Hexadecimal 0x35F9F12

Divisor Catalog (32)

1 2 5 7 10 14 35 70 613 1,226 1,319 2,638 3,065 4,291 6,130 6,595 8,582 9,233 13,190 18,466 21,455 42,910 46,165 92,330 808,547 1,617,094 4,042,735 5,659,829 8,085,470 11,319,658 28,299,145 56,598,290

Collatz Trajectory (269 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

56,598,290 28,299,145 84,897,436 42,448,718 21,224,359 63,673,078 31,836,539 95,509,618 47,754,809 143,264,428 71,632,214 35,816,107 107,448,322 53,724,161 161,172,484 80,586,242 40,293,121 120,879,364 60,439,682 30,219,841 90,659,524 45,329,762 22,664,881 67,994,644 33,997,322 16,998,661 50,995,984 25,497,992 12,748,996 6,374,498 3,187,249 9,561,748 4,780,874 2,390,437 7,171,312 3,585,656 1,792,828 896,414 448,207 1,344,622 672,311 2,016,934 1,008,467 3,025,402 1,512,701 4,538,104 2,269,052 1,134,526 567,263 1,701,790 850,895 2,552,686 1,276,343 3,829,030 1,914,515 5,743,546 2,871,773 8,615,320 4,307,660 2,153,830

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